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Finding the Fourth Proportional to 1,661.56, 2,291.08 and 1,063.27

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Solution

The fourth proportional to 1,661.56, 2,291.08 and 1,063.27 is: 1,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.56 : 2,291.08 = 1,063.27 : x
  2. Step 2: Convert to fraction form
    1,661.56/2,291.08 = 1,063.27/x
  3. Step 3: Cross multiply
    1,661.56x = 2,291.08 × 1,063.27
  4. Step 4: Simplify right side
    1,661.56x = 2,436,036.63
  5. Step 5: Solve for x
    x = 2,436,036.63/1,661.56
  6. Step 6: Final answer
    x = 1,466.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.